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    • Question

      If a tank can be filled by a tap in 12 hours, but due to

      an outlet, it actually takes 9 hours longer to fill the tank, find the duration in which the outlet alone would empty the tank?
      A 70 Correct Answer Incorrect Answer
      B 28 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 63 Correct Answer Incorrect Answer
      E 42 Correct Answer Incorrect Answer

      Solution

      Let tap ‘A’ fill the tank and tap ‘B’ empty the tank. Taking LCM of 12 and 21 = 84 Efficiency of A = 7 Efficiency of (A – B) = 4 Efficiency of B = 7 – 4 = 3 Tap B will empty the tank = 84/3 = 28 So, tap B will empty the tank in 28 hours.

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